M000000277

$$\pi=25590231200\arctan\left(\frac{1}{11566119443}\right)-4567298808\arctan\left(\frac{1}{20825269187}\right)+4523978404\arctan\left(\frac{1}{38185029043}\right)+6651965832\arctan\left(\frac{1}{48389473527}\right)+11378123004\arctan\left(\frac{2}{112899039159}\right)+7453828572\arctan\left(\frac{2}{115004793075}\right)+21634626368\arctan\left(\frac{1}{66492889557}\right)+6424129528\arctan\left(\frac{1}{111110023057}\right)+19164980192\arctan\left(\frac{1}{120563046313}\right)+15850138824\arctan\left(\frac{1}{313329771682}\right)-5881245824\arctan\left(\frac{1}{425963011457}\right)-17583294896\arctan\left(\frac{1}{501226901209}\right)+16110420776\arctan\left(\frac{1}{828289603318}\right)+959829168\arctan\left(\frac{2}{2136194739989}\right)-6929641936\arctan\left(\frac{1}{1130041002202}\right)-6536088716\arctan\left(\frac{1}{1921044951457}\right)+11530766064\arctan\left(\frac{1}{2184851093363}\right)+11134262116\arctan\left(\frac{1}{15962244871097}\right)+18183786884\arctan\left(\frac{1}{46150510628682}\right)+15000977420\arctan\left(\frac{1}{69971515635443}\right)+3141968176\arctan\left(\frac{1}{222158954830457}\right)+6663771404\arctan\left(\frac{1}{4439568777547493}\right)$$